Question

If g(x)=4x^2-16 were shifted 9 units to the right and 1 down, what would the new equation be?

Answer 1

The answer is g'(x) = 4x² - 72x + 307.

If shifted 9 units right, substitute (x - 9) in place of x.

• g'(x) = 4(x - 9)² - 16

If shifted 1 unit down afterwards, subtract 1.

• g'(x) = 4(x - 9)² - 16 - 1
• g'(x) = 4(x - 9)² - 17
• g'(x) = 4x² - 72x + 324 - 17
• g'(x) = 4x² - 72x + 307

Answer 2

h(x)=4(x-9)^2-17

Explanation: